56824572672 has 216 divisors, whose sum is σ = 187712048160. Its totient is φ = 16195092480.

The previous prime is 56824572647. The next prime is 56824572719. The reversal of 56824572672 is 27627542865.

56824572672 is a `hidden beast` number, since 5 + 6 + 8 + 2 + 4 + 572 + 67 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6785704 + ... + 6794072.

It is an arithmetic number, because the mean of its divisors is an integer number (869037260).

Almost surely, 2^56824572672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56824572672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93856024080).

56824572672 is an abundant number, since it is smaller than the sum of its proper divisors (130887475488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56824572672 is a wasteful number, since it uses less digits than its factorization.

56824572672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8819 (or 8802 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The spelling of 56824572672 in words is "fifty-six billion, eight hundred twenty-four million, five hundred seventy-two thousand, six hundred seventy-two".